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Simplifying x2 + 4x + 3 = (x + 3)(x + 1) Reorder the terms: 3 + 4x + x2 = (x + 3)(x + 1) Reorder the terms: 3 + 4x + x2 = (3 + x)(x + 1) Reorder the terms: 3 + 4x + x2 = (3 + x)(1 + x) Multiply (3 + x) * (1 + x) 3 + 4x + x2 = (3(1 + x) + x(1 + x)) 3 + 4x + x2 = ((1 * 3 + x * 3) + x(1 + x)) 3 + 4x + x2 = ((3 + 3x) + x(1 + x)) 3 + 4x + x2 = (3 + 3x + (1 * x + x * x)) 3 + 4x + x2 = (3 + 3x + (1x + x2)) Combine like terms: 3x + 1x = 4x 3 + 4x + x2 = (3 + 4x + x2) Add '-3' to each side of the equation. 3 + 4x + -3 + x2 = 3 + 4x + -3 + x2 Reorder the terms: 3 + -3 + 4x + x2 = 3 + 4x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + 4x + x2 = 3 + 4x + -3 + x2 4x + x2 = 3 + 4x + -3 + x2 Reorder the terms: 4x + x2 = 3 + -3 + 4x + x2 Combine like terms: 3 + -3 = 0 4x + x2 = 0 + 4x + x2 4x + x2 = 4x + x2 Add '-4x' to each side of the equation. 4x + -4x + x2 = 4x + -4x + x2 Combine like terms: 4x + -4x = 0 0 + x2 = 4x + -4x + x2 x2 = 4x + -4x + x2 Combine like terms: 4x + -4x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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